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Successive Approximations Process in Analog Solution of Partial Differential Equations by Difference Method
Author(s) -
Matyáš Josef
Publication year - 1960
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19600401008
Subject(s) - convergence (economics) , mathematics , boundary value problem , partial differential equation , shaping , analog computer , mathematical analysis , numerical partial differential equations , process (computing) , boundary (topology) , computer science , economics , economic growth , electrical engineering , electronic engineering , engineering , operating system
In this paper a method of successive approximations in analog solution of partial differential equations is described. The convergence theorem for a wide class of boundary (or initial‐boundary) value problems is proved. A solution procedure is proposed to reach higher speed of the convergence of the successive approximations process and for estimating the accuracy of the solution. Analog computer solution is briefly discussed.